I have the same thing going on the wj now, looks to be the actuator.Door actuator problem, fairly rare on the Liberty, very common on the Rams, could be a control head as well.
Is it knocking in the dash area? Or the doors acting funny, knocking noises are a giveaway for a actuator problem. Doors not opening or closing properly could be another issue.I have the same thing going on the wj now, looks to be the actuator.
.......Kyle, it sounds like your blower motor is shutting off and not your a/c. Does the A/c button stay illuminated ? That would indicate that the compressor is still operating but the blower fan might have a problem. It is also common for a bad blower resistor to make intermittent contact which will "shut off" airflow by stopping the blower motor. Which makes sense if you are hitting the right underside of your dash to make the A/c work. Most systems bypass the blower motor on the highest setting. Does your a/c cut-off even when the blower is set to full speed ?